Abstract
This chapter is organized as follows. Section 2 reviews the basics of non-Newtonian fluid mechanics and then focuses on the two main examples, of rod-shaped and dumbbellshaped immersed particles. The latter is a necessary element in the derivation of the Oldroyd-B model and is described in Section 3.3. In order to find the extra stress due to a suspension of rod-like bodies, the Kirkwood formula is recalled in Section 3.2.3 and its application to an actively swimming rod is presented. The last section, Section 3.4, consists of an overview of recent work on two important applications, pumping and swimming. Indepth details are given on the continuum model describing a suspension of active rods and its stability behaviour around a state of uniformity and isotropy.
Original language | English (US) |
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Title of host publication | New Trends in the Physics and Mechanics of Biological Systems |
Subtitle of host publication | Lecture Notes of the Les Houches Summer School: July 2009 |
Publisher | Oxford University Press |
Volume | 92 |
ISBN (Electronic) | 9780191729522 |
ISBN (Print) | 9780199605835 |
DOIs | |
State | Published - Sep 22 2011 |
Keywords
- Immersed particles
- Kirkwood formula
- Non-newtonian fluid mechanics
- Oldroyd-b model
- Pumping
- Swimming rod
ASJC Scopus subject areas
- General Physics and Astronomy